Thus, in the immemorial way -- in the way of the right hand that knows and the left that does not -- was the stage set for tragedy at Bari.

Thus the negation of the axiom of choice states that there exists a set of nonempty sets which has no choice function.

Thus the axiom of choice is not generally available in constructive set theory.

Thus, ATP was a simple request / response exchange, with no need to set up or tear down connections.

Thus flight test program was set to integrate the AARGM onto Tornado ECR's weapon system.

) Thus a set is completely determined by its elements ; the description is immaterial.

Thus the set of strings of length k in the domain is exactly the set of such strings already enumerated.

Thus the cofinality of a finite partially ordered set is equal to the number of its maximal elements.

Thus Post in his 1936 was also discounting Kurt Gödel's suggestion to Church in 1934 – 5 that the thesis might be expressed as an axiom or set of axioms.

Thus, in the important Shreveport Cases of 1914, Hughes sustained a decision of the Interstate Commerce Commission voiding intrastate rates set by the Railroad Commission of Texas.

Thus B3-34 defined a new command set, which later was used in a series of later programmable Soviet calculators.

Thus, a database and its supporting DBMS are defined here by a set of general requirements listed below.

Thus there is a natural bijection from the set of all possible equivalence relations on X and the set of all partitions of X.

Thus traditional exegesis supposes that after his release Paul sailed from Rome into Asia, passing Crete by the way, and that there he left Titus " to set in order the things that were wanting.

Thus, most security researchers set maximum times ( such as 14 days or 30 days ) before fully revealing a vulnerability to the public, since otherwise many vendors would never fix even critical vulnerabilities in their products.

Thus, variable only depends directly on variable, rather than depending on the entire set of variables.

Thus each user of an IPv6 subnet automatically has available a set of globally routable source-specific multicast groups for multicast applications.

Thus, he cautiously states: " But knowing the sure number declared by Scripture, that is six hundred sixty and six, let them await, in the first place, the division of the kingdom into ten ; then, in the next place, when these kings are reigning, and beginning to set their affairs in order, and advance their kingdom, them learn to acknowledge that he who shall come claiming the kingdom for himself, and shall terrify those men of whom we have been speaking, have a name containing the aforesaid number, is truly the abomination of desolation.

Thus many equipment manufacturers add on their own particular requirements or tighten the tolerance on a general specification to meet their particular needs ( or doing a different set of tests or using different / own testbed engine ).

Thus for each unit the seller tries to set the price equal to the consumer ’ s reservation price.

Thus, they capture the idea of function composition within a set.

Thus its range of action was predominantly set in Italy and France, where such sects had settled.

Thus, a set of input objects is gathered and corresponding outputs are also gathered, either from human experts or from measurements.

Thus, you avoid headaches when an employee wants off for his fourth cousin's funeral.

Thus, when Dartmouth's Winter Carnival -- widely recognized as the greatest, wildest, roaringest college weekend anywhere, any time -- was broadcast over a national television hookup, Prexy John Sloan Dickey appeared on the screen in rugged winter garb, topped off by a tam-o'-shanter which he confessed had been acquired from a Smith girl.

Thus a construction of the following type could conceivably arise: " It nearly knocked me off me plates — he was wearing a syrup!

Thus Odin, wounded by the double trespass of his wife, resented the outrage to his image as keenly as that to his bed ; and, ruffled by these two stinging dishonours, took to an exile overflowing with noble shame, imagining so to wipe off the slur of his ignominy.

Thus if Portugal specialized in wine and England in cloth, both states would end up better off if they traded.

Thus the initial input change circulates along the feedback loop and grows in an avalanche-like manner until finally Q1 switches off and Q2 switches on.

Thus, Set is used to " set " Q1 on, and Reset is used to " reset " it to off state.

Thus Potsdamer Platz was off and running.

Thus there is a trade off between the number of satellites and their cost.

Thus flanged wheels are wheels with a flange on one side to keep the wheels from running off the rails.

Thus, moving from A to D enables you to make one person better off without making anyone else worse off ( Pareto improvement ).

Thus a British assault on Sullivan's Island was driven off and Clinton then abandoned his attempts to capture the city.

Thus, in the UK, a toasted sub attracts VAT, whereas a cold sub, eaten off the premises, does not.

Thus one of the gateways weighing a hundred kilos is off its hinges and nearly fell on a lawyer who entered, cracks between concrete blocks, the joints of windows letting in wind and water, it rains in the concourse ...

Thus a better understanding of the possible links between El Niño, Western Pacific Warm Pool, Indonesian Throughflow, wind pattern off western Australia, and ice volume expansion and contraction can be obtained by studying the behaviour of the LC during Quaternary at close stratigraphic intervals.

Thus although everyone is better off, this is not the preferred outcome.

Thus, under Kaldor – Hicks efficiency, a more efficient outcome can in fact leave some people worse off.

Thus the term " screen saver " is now something of a misnomer — the best way to save the screen ( and also save electricity ) would simply be to have the computer turn off the monitor.

Thus, the most valuable information is gathered by running the engine at high speed and full load, immediately cutting the ignition off and stopping without idling or low speed operation and removing the plugs for reading.

Thus they cut themselves off from Eternity and began to plot its demise.

Thus, making coupons available enables, for instance, breakfast cereal makers to charge higher prices to price-insensitive customers, while still making some profit off customers who are more price-sensitive.

Thus, the mining operation essentially consists of vacuuming it off the surface with a vehicle called a Harvester until a worm comes, at which time an aircraft known as a Carryall lifts the mining vehicle to safety.

Thus, there were three such Flex Defenses — strong, weak, and " tackle " — where both defensive tackles were off the line of scrimmage.

Thus twice the usual Eddington luminosity would be needed to drive off an atmosphere of pure helium.